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Finding the Fourth Proportional to 9,752.00, 13,456.26 and 5,502.74

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Solution

The fourth proportional to 9,752.00, 13,456.26 and 5,502.74 is: 7,592.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.00 : 13,456.26 = 5,502.74 : x
  2. Step 2: Convert to fraction form
    9,752.00/13,456.26 = 5,502.74/x
  3. Step 3: Cross multiply
    9,752.00x = 13,456.26 × 5,502.74
  4. Step 4: Simplify right side
    9,752.00x = 74,046,232.87
  5. Step 5: Solve for x
    x = 74,046,232.87/9,752.00
  6. Step 6: Final answer
    x = 7,592.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.